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Susie · 2023年04月17日

这题没理解,计算器算出来fv是选B呀

NO.PZ2022071202000011

问题如下:

Question An investor deposits £2,000 into an account that pays 6% per annum compounded continuously. The value of the account at the end of four years is closest to:

选项:

A.£2,854. B.£2,525. C.£2,542.

解释:

Solution

C is correct. The future value (FV) of a given lump sum, calculated using continuous compounding, is: FV = PVerN = 2,000 × e0.06 × 4 = £2,542.49 ~ £2,542.

A is incorrect. It is calculated as: ln(0.06 × 4) × 2,000 = -2,854.23 and ignores the negative sign of the logarithm.

B is incorrect. It uses annual compounding: 2,000 × (1 + 0.06)4 = 2,524.95.



1 个答案

星星_品职助教 · 2023年04月17日

同学你好,

B选项的算法是按年复利。但题干中的提示为“compounded continuously”即连续复利。正确的算法应该代入下方C选项解析的公式进行计算。

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